SOLUTION: write an equation of the tangent function with period 3pi/8, phase shift -pi/5, and vertical shift -2 a)y=tan(8x/3 - 8pi/15)-2 b)y=tan(8x/3 + 8pi/15)-2 c)y=tan(16x/3 + 3pi/80)

Question 212802: write an equation of the tangent function with period 3pi/8, phase shift -pi/5, and vertical shift -2
a)y=tan(8x/3 - 8pi/15)-2
b)y=tan(8x/3 + 8pi/15)-2
c)y=tan(16x/3 + 3pi/80)-2
d)y=tan(8x/3 - 3pi/40)-2
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Using a general form of where B = (the natural period of tan)/(period of this function), D is the phase shift and C is the vertical shift, we want an equation where , and C = -2. We want an equation that looks like:

None of the answers look this this. But if we multiply out the argument of tan we get:

which matches answer "b"

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